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The Niagara Cantilever Bridge or Michigan Central Railway Cantilever Bridge
If you know the natural frequency and the mass of the load and beam... k=Wn^2*m (where k=stiffness, Wn=natural frequency, m=total mass) If the beam's mass is not negligable then the total mass is... m= m(load)+1/4m(beam) I'm wondering if this link might help you ;-) http://www.vibrationdata.com/StructuralDC.htm Here is a paper that solves a problem by studying the Cantilever Beam. A few pages into this paper, it has the mathmetical expressions for its the first 3 vibration modes and frequencies. http://faculty.uml.edu/pavitabile/22.403/web_downloads/Final_Project_Cantilever_101806.pdf One more link: http://www.kxcad.net/RecurDyn/RecurDyn_Ver6.3/programmanual/Eigenvalue_Analysis/Application/Cantilever_Beam/Cantilever_Beam.htm
The first cantilever bridge was invented by Heinrich Gerber in 1867. He also designed and constructed the Hassfurt Bridge over the main river in Germany
Audible frequency is characterized as a periodic vibration whose frequency is audible to the average human. While the range of frequencies that any individual can hear is largely related to environmental factors, the generally accepted standard range of audible frequencies is 20 to 20,000 hertz. Frequencies below 20 Hz can usually be felt rather than heard, assuming the amplitude of the vibration is high enough. Frequencies above 20,000 Hz can sometimes be sensed by young people, but high frequencies are the first to be affected by hearing loss due to age and/or prolonged exposure to very loud noises.
The high frequencies suffer first, with age.
He had invented the hinge girder just one year before.
First you have to locate the source of the vibration before you can fix it.
first vibration then heat
In an experiment I did with silicon carbide fibers, the thicker fibers (bigger diameter) had slightly higher frequencies (referring to the first natural frequency).
Solve by treating tower as a cantilever beam and lumping some of the tower mass at the top. First find the deflection of the tower, from this find the stiffness. The lowest natural frequency is sqrt(k/m), where m is the mass at the top of the tower plus the 0.23mass of the tower that can be lumped at the end.
Hearing loss due to otosclerosis is usually first noticed in the late teens or early twenties. Hearing loss usually occurs in the low frequencies first, followed by high frequencies, then middle frequencies. Extensive hearing tests.
The eardrum is the first place.